core

### Math Process of the Legacy (I,J,K, X,Y,Z) RMEAS Mode

The Legacy (I,J,K, X,Y,Z) RMEAS mode controls I, J, K, X,Y, Z (T) and therefore works well with 3D RMEAS features, such as circles with sample hits.

Use the numerical values from the example features in the table below, and follow these steps to understand how RMEAS/LEGACY (I,J,K, X,Y,Z) functions.

1. Create a coordinate system (roto-translation matrix) given the nominal RMEAS feature XYZ IJK.

2. Move the nominal Auto Feature XYZ and IJK into the RMEAS coordinate system.

3. Create a new coordinate system given the actual RMEAS feature XYZ IJK.

4. Now, move the roto-translated Auto Feature XYZ and IJK back into the PART coordinate system using the new RMEAS coordinate system.

5. Use the new nominal XYZ and IJK to measure the Auto Feature.

Example Feature | XYZ | IJK
Nominal RMEAS Feature | 0, 0, 2 | 0, 0, 1
Actual RMEAS Feature | -1, 0, 1 | -0.7071, 0, 0.7071
Nominal Auto Feature | 2, 1, 0 | 0.7071, 0, 0.7071
New Nominal Auto Feature | 1.8284, 1, 1 | 0, 0, 1

Example with Translation Only | XYZ | IJK
Nominal RMEAS Feature | 124, 50, 0 | 0, 0, 1
Actual RMEAS Feature | 123, 50, -1 | 0, 0, 1
Nominal Auto Feature | 93.5, 19.5, 0 | 0, 0, 1
New Nominal Auto Feature | 92.5, 19.5, -1 | 0, 0, 1